On a busy road in a city the number of persons sitting in the cars passing by were observed during a particular interval of time. Data of 60 such cars is given in the following table.

Suppose another car passes by after this time interval. Find the probability that it has

(i) only 2 persons sitting in it (ii) less than 3 persons in it

(iii) more than 2 persons in it (iv) at least 4 persons in it

According to the Data of 60 cars we need to find the probability of an event for a car passing after the interval.

Here, we’ll be finding out empirical probability.

(i) Only two persons sitting in it

No. of cars with 2 persons in the interval = 16

Total number of cars = 60

⇒

(ii) Less than 3 persons in it

This is satisfied when the number of persons is 1 and 2 in a car.

No. of cars with 1 persons in the interval = 22

No. of cars with 2 persons in the interval = 16

Total number of cars = 60

⇒

⇒

(iii) More than 2 persons in it

This is satisfied when the number of persons is 3, 4 and 5

No. of cars with 3 persons in the interval = 12

No. of cars with 4 persons in the interval = 6

No. of cars with 5 persons in the interval = 4

Total number of cars = 60

⇒

⇒

(iv) at least 4 persons in it

This is satisfied when the number of persons is 3, 4 and 5

No. of cars with 4 persons in the interval = 6

No. of cars with 5 persons in the interval = 4

Total number of cars = 60

⇒

⇒